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Question

Jean Olson rode her bicycle 24 miles, then her bike got a flat tire. She then walked her bike 2 miles to a bicycle shop to repair the tire. Jeans riding speed was 4 times her walking speed. If the total time jean spent riding and walking was two hours, determine her walking speed and her riding speed.

Answer 1

distance = rate*time

r = walking speed

4r = riding speed

t = time riding

2-t = time walking

 

24 = 4rt ... rt = 6

2 = r(2-t)

 

2r - rt = 2

2r - 6 = 2

2r = 8

r = 4

 

walking speed = 4mph

riding speed = 16mph